If these two figures are similar, what is the measure of the missing angle?
33°
114°
?
If these two figures are similar, what is the measure of the missing angle? 33° 114° ?
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If these two figures are similar, what is the measure of the missing angle?
33°
114°
?
To find the missing angle in similar figures, we can use the property that corresponding angles in similar figures are equal.
You have two known angles: 33° and 114°. The sum of angles in a triangle is always 180°. So we can find the missing angle by subtracting the sum of the known angles from 180°.
1. Add the known angles:
( 33° + 114° = 147° )
2. Subtract this sum from 180°:
( 180° – 147° = 33° )
So, the measure of the missing angle is 33°. Since the figures are similar, corresponding angles are equal.